Solve X=-2sqrt{7}-3sqrt{28}+6sqrt{63}

$$X = - 2 \sqrt { 7 } - 3 \sqrt { 28 } + 6 \sqrt { 63 }$$

Solve for X

$$X=10\sqrt{7}\approx 26.457513111$$

Steps for Solving Linear Equation

Factor 28=2^{2}\times 7. Rewrite the square root of the product \sqrt{2^{2}\times 7} as the product of square roots \sqrt{2^{2}}\sqrt{7}. Take the square root of 2^{2}.

$$X=-2\sqrt{7}-3\times 2\sqrt{7}+6\sqrt{63}$$

Multiply -3 and 2 to get -6.

$$X=-2\sqrt{7}-6\sqrt{7}+6\sqrt{63}$$

Combine -2\sqrt{7} and -6\sqrt{7} to get -8\sqrt{7}.

$$X=-8\sqrt{7}+6\sqrt{63}$$

Factor 63=3^{2}\times 7. Rewrite the square root of the product \sqrt{3^{2}\times 7} as the product of square roots \sqrt{3^{2}}\sqrt{7}. Take the square root of 3^{2}.

$$X=-8\sqrt{7}+6\times 3\sqrt{7}$$

Multiply 6 and 3 to get 18.

$$X=-8\sqrt{7}+18\sqrt{7}$$

Combine -8\sqrt{7} and 18\sqrt{7} to get 10\sqrt{7}.

$$X=10\sqrt{7}$$

Assign X

$$X≔10\sqrt{7}$$